Pre Calculus

Let $\bold{w} = \begin{pmatrix} 2 \\ -1 \end{pmatrix}$. There exists a $2 \times 2$ matrix $\bold{P}$ such that
\[\text{proj}_{\bold{w}} \bold{v} = \bold{P} \bold{v}\]
for all 2-dimensional vectors $\bold{v}$. Find $\bold{P}$.

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asked by Bob
  1. can you skip the LaTex? It appears that you are saying that

    w = (2,1) and there is a 2x2 P such that
    w•v = Pv

    or something like that. Correct?

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    posted by Steve

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